sin 0 1 + cos 0 Establish the identity: 2 csc 0 1 + cos 0 sin 0

Q: sin 2.x Using Half Angle identities, verify sin 2 cos 2 2 sin x

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

Q: Establish each identity.

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A: Given: The equation is sin 4θ = cos θ4 sin θ - 8 sin3 θ .

Q: sin*0 – cos*0 = sin²0 – cos²0 %3D

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Q: Verify the identity: 1/(sin θ + cos θ)+1/(sin θ - cos θ) = 2 sin θ/(sin4 θ- cos4 θ)

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Q: 1 1+ sin 0 2 1- sin 0 ¯ cos² 0' Prove that 7 sin 0 + 5 cos 0 cos 0 sin 0 7 sec 0 + 5 csc 0. Prove…

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Q: Establish each identity.

A: The trigonometic formula is given by: sin A cos B -cos A sin B=sinA-B

Q: Sin 0= 4. tan 0>0 Part 1 of 3 (a) sin 20 = Part 2 of 3 (b) cos 20=

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Q: Prove the trigonometric identity: sec 0 – cos 0 sin² 0 sec 0 + cos O 1 + cos? 0

A: To prove that  secθ-cosθsecθ+cosθ=sin2θ1+cos2θ

Q: Verify the identity. cos(4x) = 1 - 8 sin?(x) + 8 sin“(x) cos(4x) = 1 - 2 sin?(2x) = 1 - 2(2 sin(x)·…

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Q: sin 50 integral do 6 + cos 50 ostitution w = 6+ cos 50. do

A: We have to calculate the given  indefinite integral using the given information

Q: sin 20 cose = tan 1+ cos 20 " 1+ cose 2

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Q: Establish each identity.

A: Given sinθ+cosθcosθ-sinθ-cosθsinθ=secθcscθ

Q: 1- sin 3 Cos B 1+ sin 8 Cos 3

A: We have prove the identity 1-sinβcosβ=cosβ1+sinβ , using trigonometric properties or mathematical…

Q: 7.) tan 0 sin 0 + cos0 = sec 0

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Q: 1+ cos(0) sin(0) sin(8) 1 + cos(0) = 2 csc(0)

A: Given: 1+cosθsinθ+sinθ1+cosθ=2cosecθ

Q: sin 20 Cos0 1+ Cos 20 = tan 1+ cos0

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Q: sin 20 + 2 cos 2 0 Verify the identity tan 0 + 2 cot 0 = sin 0 cos 0

A: Solve the given identity

Q: Sin 20 + cos20 +1 Sin 20-cos20 +1 - - сото

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Q: Establish each identity.

A: Given cosθ-cos5θsinθ+sin5θ=tan2θ

Q: Prove the identity. sin(-0) sec(-0) cot(-0) = 1

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Q: Establish each identity given in attachment.

A: Consider L.H.S. : sin θ+cos θsin θ-cos θ -sin θcos θ=sin θcos θ-sin θ cos θ -sin2 θ sin θ cos θ =sin…

Q: (1 + cos α)(1 − cos α) = sin2 α (1 + cos α)(1 − cos α) = 1 −(     )=sin2α

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Q: Verify the identity. 6 cos(sin-1 x) = / 36 – 36x2 Let 0 = sin-1 x = sin 0 = x = X. Thus, 6 cos(sin-1…

A: use trigonometric identity  to verify it.

Q: Establish the identity. 9) sin(20) + cos 0 sin 0 = 3 cos Osin 0

A: Explanation of the solution is given below...

Q: Ask the paper questions 2-8

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Q: Establish the identity. sin 0 1 sin 0- 1 1 csc 0

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Q: Prove identity: 4 sin x cos x (1 – 2 sin? x) = sin(4x)

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Q: cos x – 1.75 = -1 COS X sin(4x) = 2 – sin 4x 4 tan(2x) – 1 = 3

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Q: 49. sin + o) = cos 0 52. cos (7 - 0) = -cos 0 55. tan (7 - 0) tan 0 %3D

A: 49. sinπ2+θ=cosθ Using addition formula  sinA+B=sinAcosB+cosAsinBsinπ2+θ=sinπ2cosθ+cosπ2sinθ…

Q: Cos 0–N1+ Sin 20 Tan 0 Sin 0 –/1 + Sin 20 N.

A: Recall: sin (2θ)= 2 sinθ cosθ sinθ cosθ= tanθ cos2θ+sin2θ=1

Q: Establish the identity 2 2 cos - sin 0 2, 1 - tan 0 2 = cos 0.

A: To establish the identity

Q: sin 0 13. Prove that 1 - = Csc 0(1 + cos 0). Cos 0

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Q: sin 20 tan 0+ sin 0 Prove the identity algebraically for all permissible values of 0 and 2 cos? 0…

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Q: sin cos 4 12 cos sin 12 4

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Q: sin 4.4- sin 2A (a) Verify that = tan A cos 4.4 + cos 2.4 (b) Express the following as a product of…

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Q: 3. sin²0 – cos²0 = 2 sin 0 – 1

A: sin2θ-cos2θ=2sin2θ-1

Q: sin 0(3sin? 0+ 4cos? 0) = 3 cos 0 + cos³ 0 4. Prove that tan 0

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Q: sin(ø) = 2 3 and <0. Given that <0< what is the exact value of cos(20)?

A: Here, given that sin θ=23; π2&lt;θ&lt;π That is θ is in the second quadrant. Therefore, cos…

Q: sin 20 · cos 0 + sin² 0 = 1

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Q: sin(2x)/1 +cos(2x) verify the trigonometric identity

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Q: 8. Prove the identity sec 0 – cos 0 = sin 0 tan 0

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Q: [(sin(180° - 0))(tan (90° + 0))]/(cos(360° + 0)) + (csc(270° - 0))(sin(57/2 - 0))

A: Given (sin180°-θ) (tan90°+θ)cos(360°+θ)+csc(270°-θ)sin5π2-θ

Q: 90. (sin 0- cos 0) - 1= -2 sind cos 0 o€) 1=-2 sin & cos 0 COS

A: Given: sinθ−cosθ2−1=−2sinθcosθ We have to prove the given identity. Identity used: sin2θ+cos2θ=1

Q: 4. Verify the identity: 1 cos(x)+1 1 + cos(x)-1 -2 csc(x) cot(x)

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Q: sin 50 Show that 16 cos 0 – 12 cos² 0 + 1. sin 0

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Q: Prove the identity sin(7 – 0) = sin 0. %3D

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Q: rectangular form. [3 (cos 40° + j sin 40°)] [4 (cos 80° + jsin 80°)]

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Q: Prove the identities: (sec 0 – cos 0)(csc 0 – sin 0) = sin 0 cos 0 -

A: Topic - trigonometry